TY - JOUR
T1 - Long Time Asymptotic Behavior of Solution of Difference Scheme for a Semilinear Parabolic Equation
AU - Feng , Hui
AU - Shen , Longjun
JO - Journal of Computational Mathematics
VL - 5
SP - 395
EP - 402
PY - 1998
DA - 1998/10
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9170.html
KW - Asymptotic behavior, implicit difference scheme, semilinear parabolic equation.
AB - <p style="text-align: justify;">In this paper we prove that the solution of implicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the corresponding nonlinear stationary problem as $t\rightarrow\infty$. For the discrete solution of nonlinear parabolic problem, we get its long time asymptotic behavior which is similar to that of the continuous solution. For simplicity, we consider one-dimensional problem.</p>